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Finding the Fourth Proportional to 380, 524.40 and 282.22

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Solution

The fourth proportional to 380, 524.40 and 282.22 is: 389.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    380 : 524.40 = 282.22 : x
  2. Step 2: Convert to fraction form
    380/524.40 = 282.22/x
  3. Step 3: Cross multiply
    380x = 524.40 × 282.22
  4. Step 4: Simplify right side
    380x = 147,996.17
  5. Step 5: Solve for x
    x = 147,996.17/380
  6. Step 6: Final answer
    x = 389.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.